On the nonparametric integral over a bv surface

DOI10.1016/0362-546X(89)90001-1zbMath0694.49029MaRDI QIDQ3469818

Anna Salvadori, Primo Brandi

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

Radon-Nikodym derivativeBurkill-Cesari integral\(\Gamma\)-quasi-additivitynonparametric integralweighted Weierstrass integral

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Integration on manifolds; measures on manifolds (58C35)

Related Items (2)

The fubini-tonelli integral in the sense of Weierstrass-cesari over pairs of bv curves ⋮ On the lower semicontinuity of certain integrals of the calculus of variations

Cites Work

• On the lower semicontinuity of certain integrals of the calculus of variations
• The nonparametric integral of the calculus of variations as a Weierstrass integral: existence and representation
• The nonparametric integral of the calculus of variations as a Weierstrass integral. II: Some applications
• Sulla convergenza in lunghezza in senso generalizzato con peso per una successione di curve parametriche
• Sull'estensione dell'integrale debole alla Burkill-Cesari ad una misura
• Nonlinear integration and Weierstrass integral over a manifold, connections with theorems on martingales
• A quasi-additivity type condition and the integral over a BV variety
• Burkill-Cesari integrals of quasi additive interval functions
• Quasi Additive Set Functions and the Concept of Integral Over a Variety
• Extension Problem for Quasi Additive Set Functions and Radon-Nikodym Derivatives
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